Prime p₀= 378608110323963581 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 12 14 4 32 70 2 70 32 4 14 12 6 (?)
a_n: 0 6 18 32 36 68 138 140 210 242 246 260 272 278
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Cruncher Pete
db: batch=70, k=14, 6 12 14 4 32 70 2

SPT(14)	378607988208649351	0 28 36 40 70 78 88 120 130 138 168 172 180 208	-122115314230
SPT(14)	378607994554482481	0 22 28 40 52 78 138 220 280 306 318 330 336 358	-115769481100
SPT(14)	378608015077984001	0 8 18 92 98 102 140 150 188 192 198 272 282 290	-95245979580
SPT(14)	378608031652004681	0 42 48 92 98 108 116 132 140 150 156 200 206 248	-78671958900
SPT(14)	378608038303737503	0 6 8 56 78 98 156 230 288 308 330 378 380 386	-72020226078
SPT(14)	378608078910834107	0 2 60 62 74 126 132 164 170 222 234 236 294 296	-31413129474
SPT(14)	378608127051032441	0 36 38 56 80 98 120 128 150 168 192 210 212 248	16727068860
SPT(14)	378608134209847501	0 12 16 42 70 102 108 130 136 168 196 222 226 238	23885883920
SPT(14)	378608149591078867	0 6 42 52 84 96 120 136 160 172 204 214 250 256	39267115286
TPT(12)	378608151481963649	0 2 42 44 72 74 138 140 180 182 210 212	41158000068
TPT(12)	378608162749440311	0 2 18 20 156 158 198 200 228 230 240 242	52425476730